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240869980032 = 27311212740819
BaseRepresentation
bin1110000001010011111…
…0000011011110000000
3212000201122100210020120
43200110332003132000
512421300203330112
6302353143340240
723254661022513
oct3402476033600
9760648323216
10240869980032
1193174908100
123a822a51680
13199386b7006
14b930032d7a
1563eb507e8c
hex3814f83780

240869980032 has 192 divisors, whose sum is σ = 708818073600. Its totient is φ = 72414397440.

The previous prime is 240869980027. The next prime is 240869980061. The reversal of 240869980032 is 230089968042.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5880519 + ... + 5921337.

It is an arithmetic number, because the mean of its divisors is an integer number (3691760800).

Almost surely, 2240869980032 is an apocalyptic number.

240869980032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240869980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354409036800).

240869980032 is an abundant number, since it is smaller than the sum of its proper divisors (467948093568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

240869980032 is a wasteful number, since it uses less digits than its factorization.

240869980032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40985 (or 40962 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 240869980032 in words is "two hundred forty billion, eight hundred sixty-nine million, nine hundred eighty thousand, thirty-two".